Please please please please PLEASE use Eye for an Eye, Virus and Resurrection more! I can't tell you how many times on my White Mage that I am the only one doing this in Coil and Extreme Primal runs.
Now don't get me wrong, I'm not saying that these are necessities, but they sure do make the healer's job easier. For one thing, a Summoner's Virus hits INT and MND in addition to STR and DEX; plus their Eye for an Eye has a shorter cooldown (120 seconds compared to 180 seconds, respectively).
Finally, you are saving massive MP on the healers if you do their battle rezzes for them. I tend to notice Summoner's have a healthy surplus of MP, comparatively.
Don't forget that while you're a DPS first and foremost, your support abilities are nothing to be neglected or ignored.
Thanks for reading. ^^